Vortex states of a disordered quantum Hall bilayer

Details Vortex states of a disordered quantum Hall bilayer Vortex states of a disordered quantum Hall bilayer

2009-03-27

arxiv.org/abs/0903.4862v2

Phys. Rev. B 80, 045302 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 3 figures. v2 slightly extended to emphasize new length scale

Scientific paper

10.1103/PhysRevB.80.045302

We present and solve a model for the vortex configuration of a disordered quantum Hall bilayer in the limit of strong and smooth disorder. We argue that there is a characteristic disorder strength below which vortices will be rare, and above which they proliferate. We predict that this can be observed tuning the electron density in a given sample. The ground state in the strong-disorder regime can be understood as an emulsion of vortex-antivortex crystals. Its signatures include a suppression of the spatial decay of counterflow currents. We find an increase of at least an order of magnitude in the length scale for this decay compared to a clean system. This provides a possible explanation of the apparent absence of leakage of counterflow currents through interlayer tunneling, even in experiments performed deep in the coherent phase where enhanced interlayer tunneling is observed.

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